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arXiv · 2006.00553

A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical

Valerii Los
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Abstract

We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic H\"ormander spaces.

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Valerii Los. 2020-05-31. A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical. https://arxiv.org/abs/2006.00553

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